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arXiv:1608.04501 [math.GT]AbstractReferencesReviewsResources

Abelian subgroups of the mapping class groups for non-orientable surfaces

Erika Kuno

Published 2016-08-16Version 1

Birman-Lubotzky-McCarthy proved that any abelian subgroup of the mapping class groups for orientable surfaces is finitely generated. We apply Birman-Lubotzky-McCarthy's arguments to the mapping class groups for non-orientable surfaces. We especially find a finitely generated group isomorphic to a given torsion-free subgroup of the mapping class groups.

Comments: 9 pages, 3 figures
Categories: math.GT
Subjects: 20F38, 20K27
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